Correct option is A
Concept used:
A triangle can be formed from any three sides only if the sum of the lengths of any two sides is greater than the third side (Triangle Inequality Rule).
We are given four lengths:
1.2 cm, 4.2 cm, 5.9 cm, 8.1 cm
We need to check how many combinations of 3 sides satisfy the triangle inequality.
List all combinations of 3 sides:
1.2, 4.2, 5.9
→ 1.2 + 4.2 = 5.4 < 5.9 → Not a triangle
1.2, 4.2, 8.1
→ 1.2 + 4.2 = 5.4 < 8.1 → Not a triangle
1.2, 5.9, 8.1
→ 1.2 + 5.9 = 7.1 < 8.1 → Not a triangle
4.2, 5.9, 8.1
→ 4.2 + 5.9 = 10.1 > 8.1
→ 5.9 + 8.1 = 14 > 4.2
→ 4.2 + 8.1 = 12.3 > 5.9 → Valid triangle
Only one valid triangle is possible.
Correct answer is (a) One
English
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